The radioisotope \( ^{235}_{92}U \) decays by emitting two alpha particles, three beta particles and a gamma ray. What is the mass and atomic number of the resulting element?

A.

215 and 88

B.

91 and 227

C.

227 and 91

D.

92 and 238

Correct answer is C

Alpha radiation consists of helium- He\(^{4}_{2}\)

2 Alpha decay --> 2  X  He\(^{4}_{2}\) = Element\(^{8}_{4}\) 

 

- Beta particles are high energy electrons-  e\(^{0}_{-1}\)

3 Beta particles --> 3  X  e\(^{0}_{-1}\) = Element\(^{0}_{-3}\)

- Gamma rays are waves of electromagnetic energy, or photons.

the mass and atomic number of the resulting element = U\(^{235}_{92}\) - Elements( \(^{8}_{4}\) +  \(^{0}_{-3}\) )

--> Element\(^{227}_{91}\)